475Q-when fitting the data shown in the table with a second order polynomialY=a+bx+cx2The value ofc isF(x)1.54031.21.92.51.98182.45963.05263.13.63.65464.24.5358(Use 4 digits)

The quadratic regression technique uses a dataset to determine a quadratic function,: f(x)=a+bx+cx2…

Answered: i155 Q-when fitting the data shown in…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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What happens to f(n) as n increases? f(n) = (¹+i)n A As n increases, f(n) remains constant. B. As n increases, f(n) decreases. C. As n increases, f(n) increases.
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Consider the experimental data below from a chemical reaction. xi | 1.435 | 2.235 | 3.035 f(xi) |4.35 |2.97 | 2.2 (a) Construct a divided difference table of the data and approximate f(2.5) using the Newton’s second degree (10) interpolating polynomial. Explain the comparison of this and the answer in (a) above.
[F] { "I started my farm with one chick and now I am a billionaire!"} Mr Tumbo's wealth (in Kenyan shillings) is governed by the function f(x) = 10 + 2xe2. Find the corresponding values of f(x) for: a = 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 and use these to draw a forward difference table. From your table: Af3 A² fa A³ f3 Af9
(a) Consider the table below for an arbitrary function y = f(x). 1| 2 3 4| 5 6 7| 8 f(x) 9 37 243 1017 3109 7749 | 16767 32713 58977 i. Draw a forward difference table for above table. Use your table to give the numerical values for: ii. Af2 iii. A²fa iv. Aºfi v. What is the degree of the polynomial from which these values were obtained from? (b) Find the specified higher order forward differences specified with the given en- tries: i. A°yo given that yo = 20, yı = 50, y2 = 90, y3 = 100, y4 = 150, y5 250. 200, y6 ii. A'yo given that yo = 79, yı 218, y6 = 250, y7 = 300. iii. A*y given that yo = 120, y2 150, уз 190, Ул 201, y5 160, y1 400, y6 = 410, y7 = 460, ys = 500. 200, y2 240, y3 = 300, Y4 = 350, y5
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i155 Q-when fitting the data shown in the table with a second order polynomial Y=a+bx+cx? The value of c is F(x) 1.5403 1.9818 2.4596 3.0526 1.2 1.9 2.5 3.1 3.6 3.6546 4.2 4.5358 (Use 4 digits)